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Heavy quark free energy in QCD and in gauge theories with gravity duals

2010/03/19 by Jorge Noronha · 19 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Gauge theory #Hamiltonian lattice gauge theory #Lattice field theory #Lattice gauge theory #Mathematical physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Supersymmetric gauge theory #Theoretical physics #Wilson loop #hep-lat #hep-ph #hep-th #nucl-th

paper · pdf · doi:10.1103/physrevd.82.065016

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 82(6) (American Physical Society) · 13 pages, no figures, new references added, more detailed discussion of results

arxiv created 2010/03/19 · openalex publication_date 2010/09/21 · arxiv updated 2014/11/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Recent lattice results in pure glue SU(3) theory at high temperatures have shown that the expectation value of the renormalized Polyakov loop approaches its asymptotic limit at high temperatures from above. We show that this implies that the ``heavy quark free energy'' obtained from the renormalized loop computed on the lattice does not behave like a true thermodynamic free energy. While this should be expected to occur in asymptotically free gauge theories such as QCD, we use the gauge/string duality to show that in a large class of strongly coupled gauge theories with nontrivial UV fixed points the Polyakov loop reaches its asymptotic value from above only if the dimension of the relevant operator used to deform the conformal field theory is greater than or equal to 3.

Citations